Multiplying any two numbers between 99980-100000
by BASE -100000 method

Multiplying any two numbers between 100001-100020
by BASE +100000 method

Multiplying any two numbers between 999980-1000000
by BASE -1000000 method

Multiplying any two numbers between 1000001-1000020
by BASE +1000000 method

Multiplying any two numbers between 9999980-10000000 by BASE -10000000 method

Multiplying any two numbers between 10000001-10000020
by BASE +10000000 method

* Multiplying numbers above and below the BASE

Class – 12 Revision and Submission of Assignment by the students

Class – 13 1st Semester Examination

SEMESTER – II

Miracle Multiplication

Class : 14 -16 Multiplication by 9's

a) any two digit numbers by 99
b) any three digit numbers by 999
c) any four digit numbers by 9999
d) any five digit numbers by 99999
e) any six digit numbers by 999999
f) any seven digit numbers by 9999999
g) any eight digit numbers by 99999999
h) any nine digit numbers by 999999999 and so…on

i) any random digit number by any random of 9's

Case i: 99999 999999999
x 456 x 345678
……… ……………

Case ii: 456578 4567456675
x 9999 x 99999
………. …………….

Class: 17-19 Multiplication by 1's

a) any two digit numbers by 11
b) any three digit numbers by 111
c) any four digit numbers by 1111
d) any five digit numbers by 11111
e) any six digit numbers by 111111
f) any seven digit numbers by 1111111
g) any eight digit numbers by 11111111
h) any nine digit numbers by 111111111 and so…on

* i) any random digit numbers by 12

i) any random digit numbers by any random of 1's

Case i: 11111 111111111
x 456 x 345678
……… ……………

Case ii: 456578 4567456675
x 1111 x 11111
………. …………….

Class: 20 The first number is same and the end digit must be add to 10

Class: 21–24 Multiplication of any random digit number by any
random digit number

(APPLICATION OF URDHVA TIRYAGBHYAM)
(VERTICAL & CROSSWISE)

a) any two digit numbers multiplied by any two digit numbers
b) any three digit numbers multiplied by any three digit numbers
c) any four digit numbers multiplied by any four digit numbers
d) any five digit numbers multiplied by any five digit numbers
e) any six digit numbers multiplied by any six digit numbers
f) any seven digit numbers multiplied by any seven digit numbers
g) any eight digit numbers multiplied by any eight digit numbers
h) any nine digit numbers multiplied by any nine digit numbers
i) Multiplying a long number by a shorter number